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Shock and Vibration
Volume 2014 (2014), Article ID 410783, 8 pages
Research Article

On the Vibration of Single-Walled Carbon Nanocones: Molecular Mechanics Approach versus Molecular Dynamics Simulations

1Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran
2Young Researchers Club, Islamic Azad University, Langroud Branch, P.O. Box 44715-1333, Langroud, Guilan, Iran

Received 28 February 2014; Revised 19 May 2014; Accepted 25 May 2014; Published 14 July 2014

Academic Editor: Tony Murmu

Copyright © 2014 R. Ansari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The vibrational behavior of single-walled carbon nanocones is studied using molecular structural method and molecular dynamics simulations. In molecular structural approach, point mass and beam elements are employed to model the carbon atoms and the connecting covalent bonds, respectively. Single-walled carbon nanocones with different apex angles are considered. Besides, the vibrational behavior of nanocones under various types of boundary conditions is studied. Predicted natural frequencies are compared with the existing results in the literature and also with the ones obtained by molecular dynamics simulations. It is found that decreasing apex angle and the length of carbon nanocone results in an increase in the natural frequency. Comparing the vibrational behavior of single-walled carbon nanocones under different boundary conditions shows that the effect of end condition on the natural frequency is more prominent for nanocones with smaller apex angles.